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Finding the Third Proportional to 548,248.69 and 822,373.03

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Solution

The third proportional to 548,248.69 and 822,373.03 is: 1,233,559.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,248.69 : 822,373.03 = 822,373.03 : x
  2. Step 2: Convert to fraction form
    548,248.69/822,373.03 = 822,373.03/x
  3. Step 3: Cross multiply
    548,248.69x = 822,373.03 × 822,373.03
  4. Step 4: Simplify right side
    548,248.69x = 676,297,402,527.31
  5. Step 5: Solve for x
    x = 676,297,402,527.31/548,248.69
  6. Step 6: Final answer
    x = 1,233,559.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.